12634916040 has 96 divisors (see below), whose sum is σ = 42479494200. Its totient is φ = 3253125120.

The previous prime is 12634915999. The next prime is 12634916053. The reversal of 12634916040 is 4061943621.

12634916040 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 49 + 1 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12370333284 + 264582756 = 111222^2 + 16266^2 .

It is a super-2 number, since 2×12634916040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12634915986 and 12634916004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594681 + ... + 615560.

Almost surely, 2^12634916040 is an apocalyptic number.

12634916040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12634916040 is an abundant number, since it is smaller than the sum of its proper divisors (29844578160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12634916040 is a wasteful number, since it uses less digits than its factorization.

12634916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210287 (or 1210280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12634916040 in words is "twelve billion, six hundred thirty-four million, nine hundred sixteen thousand, forty".